Lax Diagrams and Enrichment

Hugo V. Bacard

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arXiv · 1206.3704

Lax Diagrams and Enrichment

Hugo V. Bacard

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Abstract

We introduce a new type of weakly enriched categories over a given symmetric monoidal model category M; these are called Co-Segal categories. Their definition derives from the philosophy of classical (enriched) Segal categories. We study their homotopy theory by giving a model structure on them. One of the motivations of introducing these structure was to have an alternative definition of higher linear categories following Segal-like methods.

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Hugo V. Bacard. 2012-06-16. Lax Diagrams and Enrichment. https://arxiv.org/abs/1206.3704

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